Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487g |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
496142870301 = 37 · 136 · 47 |
Discriminant |
Eigenvalues |
0 3- -1 3 -3 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2028,9337] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:1517:8] [-35:193:1] |
Generators of the group modulo torsion |
j |
262144/141 |
j-invariant |
L |
9.0169431728349 |
L(r)(E,1)/r! |
Ω |
0.81353207791775 |
Real period |
R |
1.3854621436685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23829e1 423a1 |
Quadratic twists by: -3 13 |